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| 003 | MX-SnUAN | ||
| 005 | 20160429154055.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 150903s2005 ne | o |||| 0|eng d | ||
| 020 |
_a9781402034169 _99781402034169 |
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| 024 | 7 |
_a10.1007/1402034164 _2doi |
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| 035 | _avtls000334344 | ||
| 039 | 9 |
_a201509030245 _bVLOAD _c201404120731 _dVLOAD _c201404090511 _dVLOAD _y201402041146 _zstaff |
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_aMX-SnUAN _bspa _cMX-SnUAN _erda |
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| 050 | 4 | _aQA641-670 | |
| 100 | 1 |
_aVassiliou, Efstathios. _eautor _9306723 |
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| 245 | 1 | 0 |
_aGeometry of Principal Sheaves / _cby Efstathios Vassiliou ; edited by M. Hazewinkel. |
| 264 | 1 |
_aDordrecht : _bSpringer Netherlands, _c2005. |
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| 300 |
_axvI, 444 páginas _brecurso en línea. |
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| 336 |
_atexto _btxt _2rdacontent |
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| 337 |
_acomputadora _bc _2rdamedia |
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| 338 |
_arecurso en línea _bcr _2rdacarrier |
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| 347 |
_aarchivo de texto _bPDF _2rda |
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| 490 | 0 |
_aMathematics and Its Applications ; _v578 |
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| 500 | _aSpringer eBooks | ||
| 505 | 0 | _aSheaves and all that -- The category of differential triads -- Lie sheaves of groups -- Principal sheaves -- Vector and associated sheaves -- Connections on principal sheaves -- Connections on vector and associated sheaves -- Curvature -- Chern-Weil theory -- Applications and further examples. | |
| 520 | _aThe book provides a detailed introduction to the theory of connections on principal sheaves in the framework of Abstract Differential Geometry (ADG). This is a new approach to differential geometry based on sheaf theoretic methods, without use of ordinary calculus. This point of view complies with the demand of contemporary physics to cope with non-smooth models of physical phenomena and spaces with singularities. Starting with a brief survey of the required sheaf theory and cohomology, the exposition then moves on to differential triads (the abstraction of smooth manifolds) and Lie sheaves of groups (the abstraction of Lie groups). Having laid the groundwork, the main part of the book is devoted to the theory of connections on principal sheaves, incorporating connections on vector and associated sheaves. Topics such as the moduli sheaf of connections, classification of principal sheaves, curvature, flat connections and flat sheaves, Chern-Weil theory, are also treated. The study brings to light fundamental notions and tools of the standard differential geometry which are susceptible of the present abstraction, and whose role remains unexploited in the classical context, because of the abundance of means therein. However, most of the latter are nonsensical in ADG. | ||
| 590 | _aPara consulta fuera de la UANL se requiere clave de acceso remoto. | ||
| 700 | 1 |
_aHazewinkel, M. _eeditor. _9306724 |
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| 710 | 2 |
_aSpringerLink (Servicio en línea) _9299170 |
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| 776 | 0 | 8 |
_iEdición impresa: _z9781402034152 |
| 856 | 4 | 0 |
_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/1-4020-3416-4 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL) |
| 942 | _c14 | ||
| 999 |
_c281220 _d281220 |
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